Abstract
We study the quantum-interference effect for the single ballistic Aharonov–Bohm (AB) billiard. The reflection coefficient δ R D is calculated by use of semi-classical scattering theory. We find: (i) h/2 e Altshuler–Aronov–Spivak (AAS) oscillation is experimentally observable in both ballistic and diffusive systems; (ii) a magnetic field in the conducting region leads to “negative magneto-resistance” and “dampening of the AAS oscillation amplitude”. Chaotic and regular AB billiards have turned out to lead to qualitatively different semi-classical formulas for conductance with their behavior determined only by knowledge regarding the underlying classical scattering.
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